The functional use of a mathematical sign

The question of how a mathematics student at university-level makes sense of a new mathematical sign, presented to her or him in the form of a definition, is a fundamental problem in mathematics education. Using an analogy with Vygotsky's theory (1986, 1994) of how a child learns a new word, I argue that a learner uses a new mathematical sign both as an object with which to communicate (like a word is used) and as an object on which to focus and to organise her or his mathematical ideas (again as a word is used) even before she or he fully comprehends the meaning of this sign. Through this sign usage, I claim that the mathematical concept evolves for that learner so that it eventually has personal meaning, like the meaning of a new word does for a child; furthermore, because the usage is socially regulated, I claim that the concept evolves for the learner so that its usage concurs with its usage in the mathematical community. In line with Vygotsky, I call this usage of the mathematical sign before mature understanding, ‘functional use’. I demonstrate ‘functional use’ of signs (manipulations, imitations, template-matching and associations) through an analysis of an interview in which a mathematics university student engages with a ‘new’ mathematical sign, the improper integral, using pedagogically designed tasks and a standard Calculus textbook as resources.     

Children writing funny stories: some reflections on the impact of collaborative talk

This article describes work undertaken with a class of Scottish Primary Six children (aged 10) that encouraged them to write humorous stories. It reflects on the impact of different teaching approaches, in particular exploring how teacher‐led input combined with opportunities for peer talk might serve to influence children's writing. The aims were first, to investigate whether, through ‘mini lessons’, children's story schemas could be expanded to include ideas about incongruity, and second, to discover how independent talking in pairs might encourage children to take up and reformulate ideas given in the initial teacher‐led input. During the sessions following the ‘mini lessons’, many opportunities for paired talk were offered. These were found to lead to a reinterpretation of ideas of incongruity, and to affect the selection and devising of voices for characters. The children's talk often gave evidence of a marked ability to describe humour and act it out orally, but analysis of the written stories reveals difficulties in writing down comic events. This has implications for the role of the teacher in finding ways to intervene sensitively to introduce new strategies.     

Orientalist libraries today

The title of this article implies full-time training in educational institutions culminating in the writing of examinations and the award of certificates. This assumption would exclude:

(i) useful in-service training programmes run in virtually all libraries;

(ii) series of short residential courses which are available, for instance, in New Zealand, as part fulfilment of essentially in-service training programmes, which may lead to certification;

(iii) workshops, seminars, etc. which may or may not lead to some form of certification, and

(iv) courses in librarianship offered as part of teacher-training programmes such as the Minor in librarianship run for the first two years of a three-year course leading to the award of the Nigerian Certificate in Education in some Advanced Teachers’ Colleges in Nigeria.

Narrowing down the scope of the title in this way leaves us mostly with African library schools offering sub-professional courses and particularly the two library schools in Nigeria with which the writer is closely connected. But in doing so attention will be drawn to certain issues characteristic of this level of education for librarianship generally with occasional comments whenever necessary.     

Teacher perspectives on factors facilitating implementation of whole school approaches for resolving conflict

While social–emotional learning programmes in schools often have positive outcomes, many such initiatives are not well implemented and maintained. This paper reports on teacher reflections on the process of planning and implementing a whole school social–emotional learning (SEL) programme with a conflict resolution focus, called Enhancing Relationships in School Communities (ERIS). Ten primary schools participated in an 18‐month professional development programme offered by the researchers to assist schools to develop a whole school approach to handling interpersonal issues using a cooperative problem‐solving approach. Implementation (core) teams of three to five members, including principal or assistant principal and relevant teachers, attended workshops and managed the change process. In individual interviews, 29 core team members described the most significant changes that had taken place, what factors facilitated those changes and what assisted in overcoming barriers. A synthesised model of facilitators of implementation was developed on the basis of these interviews. The major components of the model included ensuring a whole school vision and process; pre‐programme engagement confirming commitment and alignment of researcher and teachers' visions; facilitative programme structure and processes such as linking the current programme to existing programmes and processes in the school; leadership and support for staff in the change process, for example, through the implementation team; the nature of the programme content; and monitoring and feedback processes to sustain motivation and inform on needs and outcomes.     

Measuring change in professionalism attitudes during the gross anatomy course

By design or default, anatomy educators are often responsible for introducing students to medical professionalism. Although much has been said about the role of anatomical education, there are no published reports suggesting how to measure change. This study investigated what professionalism attitudes, if any, change during a gross anatomy course. Additionally, the influence of four dichotomous variables related to student identity and preparation for medical school were analyzed for their effect on professionalism attitudes. A cross‐sectional time‐one (T1; beginning of the course), time‐two (T2; end of the course) study using the Penn State College of Medicine Survey of Professionalism was conducted. A multivariate analysis of variance identified the main effects and interaction effects of categorical variables. A Mann Whitney U test verified significant differences. This study found a reprioritization of professionalism attitudes in favor of altruism (P = 0.04 with a Cohen's d = 0.26) at T2. Female students (P = 0.03, Cohen's d = 0.38) and students from a science background (P = 0.04, Cohen's d = 0.36) changed the most in favor of altruism. Interestingly, though several factors correlated with dissimilarities in professionalism values at T1, gender was the only factor to show a significant difference in professionalism attitudes at T2. This cohort of students reported a statistically significant increase in altruism and no significant decreases in other professionalism attitudes concurrent with the gross anatomy course. Anat Sci Educ 3:12–16, 2010. © 2009 American Association of Anatomists